document.write( "Question 164192: Please help me with this problem. I do not know how to set it up.\r
\n" ); document.write( "\n" ); document.write( "How can $5,400 be invested, part of it at 8% and the rest of it invested at 10%, so that the two investments will produce the same amount of interest? \n" ); document.write( "
Algebra.Com's Answer #120980 by alicealc(293)\"\" \"About 
You can put this solution on YOUR website!
Let:
\n" ); document.write( "first investment = x
\n" ); document.write( "second investment = 5400 - x\r
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\n" ); document.write( "\n" ); document.write( "the two investments has the same amount of interest, so:
\n" ); document.write( "\"%288%2F100%29+%2A+x+=+%2810%2F100%29+%2A+%285400+-+x%29\"
\n" ); document.write( "<=> 0.08x = 0.1*(5400 - x)
\n" ); document.write( "<=> 0.08x = 540 - 0.1x
\n" ); document.write( "<=> 0.08x + 0.1x = 540
\n" ); document.write( "<=> 0.18x = 540
\n" ); document.write( "<=> x = 540/0.18
\n" ); document.write( "<=> x = 3000\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "first investment = 3000
\n" ); document.write( "second investment = 5400 - 3000 = 2400\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "so you should invest $3,000 at 8% and $2,400 at 10%\r
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